112867186037760 has 3168 divisors, whose sum is σ = 511413519052800. Its totient is φ = 22355597721600.

The previous prime is 112867186037737. The next prime is 112867186037761. The reversal of 112867186037760 is 67730681768211.

112867186037760 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 6 + 7 + 18 + 603 + 7 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112867186037761) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 269372758831 + ... + 269372759249.

Almost surely, 2^{112867186037760} is an apocalyptic number.

112867186037760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112867186037760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255706759526400).

112867186037760 is an abundant number, since it is smaller than the sum of its proper divisors (398546333015040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112867186037760 is a wasteful number, since it uses less digits than its factorization.

112867186037760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 28449792, while the sum is 63.

The spelling of 112867186037760 in words is "one hundred twelve trillion, eight hundred sixty-seven billion, one hundred eighty-six million, thirty-seven thousand, seven hundred sixty".